11121021221000 has 128 divisors (see below), whose sum is σ = 26513446059360. Its totient is φ = 4365383680000.

The previous prime is 11121021220997. The next prime is 11121021221017. The reversal of 11121021221000 is 12212012111.

It can be written as a sum of positive squares in 16 ways, for example, as 3552569050276 + 7568452170724 = 1884826^2 + 2751082^2 .

It is a super-2 number, since 2×11121021221000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10925792 + ... + 11900208.

Almost surely, 2^{11121021221000} is an apocalyptic number.

11121021221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121021221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13256723029680).

11121021221000 is an abundant number, since it is smaller than the sum of its proper divisors (15392424838360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121021221000 is a wasteful number, since it uses less digits than its factorization.

11121021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974652 (or 974638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11121021221000 its reverse (12212012111), we get a palindrome (11133233233111).

The spelling of 11121021221000 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand".